Quaternionic polynomials with multiple zeros: A numerical point of view

doi:10.1063/1.4972691

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/45981

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Campo DC	Valor	Idioma
dc.contributor.author	Falcão, M. I.	por
dc.contributor.author	Miranda, Fernando	por
dc.contributor.author	Severino, Ricardo	por
dc.contributor.author	Soares, M. J.	por
dc.date.accessioned	2017-06-16T16:10:47Z	-
dc.date.available	2017-06-16T16:10:47Z	-
dc.date.issued	2017-07	-
dc.identifier.isbn	9780735414648	por
dc.identifier.issn	0094-243X	por
dc.identifier.uri	https://hdl.handle.net/1822/45981	-
dc.description.abstract	In the ring of quaternionic polynomials there is no easy solution to the problem of finding a suitable definition of multiplicity of a zero. In this paper we discuss different notions of multiple zeros available in the literature and add a computational point of view to this problem, by taking into account the behavior of the well known Newton's method in the presence of such roots.	por
dc.description.sponsorship	COMPETE reference number POCI-01-0145-FEDER-006683; FCT/MEC's financial support through national funding and by the ERDF through the Operational Programme on ``Competitiveness and Internationalization -- COMPETE 2020" under the PT2020 Partnership Agreement	por
dc.language.iso	eng	por
dc.publisher	AIP Publishing	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147370/PT	por
dc.relation	COMPETE reference number POCI-01-0145-FEDER-006683	por
dc.relation	FCT/MEC's financial support through national funding and by the ERDF through the Operational Programme on ``Competitiveness and Internationalization -- COMPETE 2020" under the PT2020 Partnership Agreement	por
dc.rights	openAccess	por
dc.subject	Quaternionic polynomials	por
dc.subject	Zeros	por
dc.subject	Multiplicity	por
dc.title	Quaternionic polynomials with multiple zeros: A numerical point of view	por
dc.type	conferencePaper	por
dc.peerreviewed	yes	por
dc.relation.publisherversion	http://aip.scitation.org/doi/pdf/10.1063/1.4972691	por
oaire.citationConferenceDate	4 Jul. - 8 Jul. 2016	por
sdum.event.type	congress	por
oaire.citationConferencePlace	La Rochelle, France	por
oaire.citationTitle	ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences	por
oaire.citationVolume	1798	-
dc.identifier.doi	10.1063/1.4972691	por
dc.subject.fos	Ciências Naturais::Matemáticas	por
dc.description.publicationversion	info:eu-repo/semantics/publishedVersion	por
dc.subject.wos	Science & Technology	por
sdum.journal	AIP Conference Proceedings	por
sdum.conferencePublication	ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences	por
Aparece nas coleções:	CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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